You should borrow or rent for a first time out. Places like lowergear.com or local sporting good stores are resources for this. There are packing list samples on rei.com in the articles section.
I highly recommend a trip of one night for the first trip, and if you are determined to go that early it will have to be someplace like Henry Coe State Park. If you plan a trip out of the Hunting Hollow entrance up the creek, there are some low risk creek crossings but it is otherwise straightforward and flat. Anywhere you go that time of year you will need to factor in how cold it will be -- even at low elevation, it will be freezing (32F or below) at night. A 20F bag -- a good one will be more accurately rated, a cheap one will not, and you can pretty much guarantee anything that's under $100 purchase price is cheap -- will be a good three season choice as anywhere in the Sierra at elevation can be that cold at night.
Winter backpacking without snow in California will be on the coast, or just inland from it. The Ventana Wilderness will be closed for a year (or more) due to the fire that raged through and torched the forest. Any backpacking route between San Simeon and Carmel will be inaccessible (legally anyway) unless you join a trail crew. Point Reyes is a good first time out -- there are designated campsites and winter is COLD so there are far fewer people, but it's still quite popular and reservations are required. Henry Coe is good and year round. All the trail camps in the Big Basin State Park are closed until May. The backpacking camp in Sunol Regional Park (Bay Area, part of the Ohlone Trail) is open, I think, and a good option.
Bear cans are a necessity in the Sierra, but food storage in places like Henry Coe are much less complicated -- hanging food in a tree or putting it in a plastic container is sufficient. Point Reyes has steel boxes -- to guard against raccoons and skunks, as there are no bears evident.
The real problem with the Lost Coast Trail is the tides -- as I understand it fall is better for that route. And another issue is getting to the trailhead, as the roads are high clearance recommended, and impassible in a good storm. There is a shuttle but it is expensive.
The 100% MUST for all trips should be safety. Backpacking is not rocket science, but too many people fail at doing enough research -- good for you, asking for help so early. You will get plenty of water in late spring/early summer, hopefully, as if there is plenty of snow to melt (

there will be plenty of water. If you MUST focus on photography while learning to backpack then Point Reyes should be a high priority destination -- it is sublime, I go there every winter over New Years with a small group of backpackers.
There are plenty of hiking groups in the Central Valley as well -- the Kaweah chapter of the Sierra Club for one -- that run backpacking trips via meetup.com. I have three hiking/backpacking groups myself. While meetup hiking groups are NOT classes -- they are literally anyone with some money to start one, and don't be fooled by nonprofit status, anyone can set up a nonprofit -- they provide companions for the trail. I recommend either taking a class through one of the adult schools, the Sierra Club, or reading up on it yourself, rather than relying on random people. You'll get good advice on this forum, one of the reasons I am still here and not on some of the other forums -- internet forums are kinda random as well -- and there are good books like Allen & Mike's Really Cool Backpackin' Book, or The Backpacker's Handbook by Chris Townsend.
A large part of this is subjective -- you find what works for YOU. It won't be the same as what works for everyone else. Ultralighters who pride themselves on being out for a week with a total weight of 15 lbs were all over the place not too long ago -- most people I have backpacked and participated in search and rescue with have gone back and forth, with gear, trying one shelter then another, trying multiple packs.... it can be very expensive to buy and try. I encourage you to learn from me (I started out just buying stuff, didn't even look for help as you are doing) and avoid buying a house based on the presence of a third bedroom that could become a 'gear room.'

If I listened to half the preaching I've heard on gear, I would be a lot less comfortable out there than I am. Generally, lighter gear is more comfortable to carry, but there is such a thing as "stupid light" when the gear becomes less functional and risk starts to rise. If you truly want to save money start slow -- borrow and rent -- don't shop at Big Five and REI just yet. I rarely go in the doors of box stores any more as my gear is not available there. I get fuel cans for stoves there, sometimes clothing on sale. Never a tent or pack.
Good luck on your journey. Feel free to ask questions any time.