I have started seeds for tomatoes,dill, cucumbers, and lettuce.
I did it in my house, in the kitchen. I have a rack and while the seeds
are just in very small paper cups it all takes insignificant space.
But I can see that in a 3-4 weeks or a month, there will be bigger
plants. Also I can see that by the end of October, beginning of
Novembere it could be late to plant these seedlings outside. Even in
South California. Correct? Usually we do not have temperature below
freezing in San Diego, but still it is pretty cold and I would expect,
plants will die. At least most of them.

So, I am thinking that I will transfer them to bigger containers, where
they can grow somewhere till end of January or February; whatever is
the time to plant in San Diego after winter.
I will see it when the seedlings will start to be sold in local Home
Depot. Then I guess, it is safe to plant outside.

So, here is my question. I do not think I will have enough place in my
kitchen or somewhere in the house to keep small pots with seedlings
during the winter in warm and lighted place.

Will it work if I puthem outside and just cover with plastic. Would it
be warm enough?
Any advice on how to do it cheap enough so I do not build any permanent
structures?
And also not to spend a lot of money and time?