For now, I can run a full node with Bitcoin Core with my available storage space, but I doubt that the space to store the whole blockchain history will be required much more when time goes. Especially over time bitcoin has become more widely accepted and transacted so maybe the space storage required to save the whole blockchain per year will increase over years.
Do I imagine it right?
Quite, but the rate didn't get higher since 2017 and it will stay like that except if the devs/community decided to increase the block size limit.
It'll start with ±250GB for 2020, then
about +50-60GB per year, can be higher depending on the number of SegWit data.
By the time the blockchain reached 400GB, a 1TB HDD would be less than $20, in fact, you can get some 2nd-hand units in that price range today.
If it is the story, then I can not manage to sync my wallet as a full node with bitcoin network.
I suppose you've already researched the other options like SPV clients or hardware wallets,
so why not use the alternative wallets instead since you've mentioned that you're not going to run a full node?