Solution 1:

Mostest is not an accepted word, though it is in some dictionaries listed as slang. Most is already in superlative form, so adding -est is redundant and ungrammatical. It was popularized, however, in the saying (intentionally ungrammatical, to convey a sense of crude common sense): "getting thar fustest with the mostest".

However, unless you want to appear illiterate, or crack a questionable pun, you should always use most, never mostest.

Solution 2:

The only context in which it is acceptable to use the word "mostest" is immediately after the words "I love you the". "Bestest" is also acceptable in this context (and no other).

Solution 3:

Mostest sounds silly, like saying betterer or even more betterer. You would (should!) only do this for deliberate comedic effect (as Leigh Francis does in the guise of Keith Lemon). It's certainly out of place in any kind of formal setting.

The correct comparative is more and the correct superlative is most. There's no need to add another -est suffix.