Bear Claw Tires

Hi guys, sorry if this is a newb question. I’m not too knowledgeable on tires.

I have a 1985 Honda Fourtrax 250 and was thinking of getting new tires but sticking with the factory rims.

The factory tires on the rims are;
Front – 21 x 7 x 10
Rear – 25 x 12 x 9

Options for those sizes is very limited and I wanted to do something to bring up the front end a bit.

I was looking into getting some Bear Claw tires through Royal Distributing.
Front – 23 x 7 x 10
Rear – 25 x 12.5 x 9

Will height increase in the front cause any significant problems? (i.e. clearance & turrning)

Will the width of 12.5 fit on the factory rims that are 12 wide? (the bear claw tires are not available in 25x12x9)

If this isn’t a good option what would be a better option?