Small apple removal???

I have Discovery and Cox Orange Pippin trees. They are still mid sized and about 4 or 5 yrs old. They both have several good sized apples that are looking very promising. It also has quite a lot of really small ones that seem to have formed but are not bothering to grow. Should I pick these off to give the bigger ones a better chance. Any advice much appreciated

 

Thinning apples is always recommended if you want a decent crop.
Its getting late but better late than never.

 

Thanks @pete
Will smallish ones that fall off ripen on a windowsill like tomatoes or are they wasted. As you can see the branches are very spindly and just can't hold the weight. Don't know how to encourage the tree to beef up? No gyms are open yet

 

Normally the small ones that fall off are never going to ripen.
I see you are supporting some branches, that is probably all you can do at the moment.
It is a bit leggy and appears to not have many leaves.
Shape needs some attention as well, I think you can only sort that out over two or three years of careful pruning.