if you have a very small amount of bitcoin then claiming these new fork tokens will give you an even smaller amount since they are not worth that much, you should not bother claiming them. for example the last one (i think it was diamond) was worth 0.00017000
BTC and if you had something like 0.01
BTC claiming it and selling would have given you 0.00000170
BTC (170 satoshi)! that is not even worth the bother.
also as you talked about moving bitcoin, since you are moving from your own wallet to your own wallet (from one pocket to another

) you can pay a small fee. for example use 10 satoshi/byte and then use
https://pool.viabtc.com/tools/txaccelerator/ accelerator on the hour.
I didn't mean that small but like 1 BTC. Thanks for the viabtc tip, I wasn't aware of it.
I understand people's view and I too believe everyone needs to focus on main BTC to minimize rise of these forks. Even if these rises, they can on its own disappear without much support. However last two times, I also expected this and both BCH and BTG are now significant value to something people attract to claim.
I just hope, these tiny but increasing in quantity of forks don't become needle to pop the BTC bubble that mainstream media/speculators believe it is.