Split away, my friends. We do it all the time in speech.
And George Bernard Shaw and Jerome K Jerome have done it in writing, so we’re in good company. Probably the most famous example is in Star Trek – ‘to boldly go’.
The science bit: The infinitive form of a verb is its ‘root’ form, beginning with ‘to’, like ‘to eat’ or ‘to sleep’. A split infinitive is when, instead of appearing next to each other, the ‘to’ and the other part of the verb are separated by another word (which is almost always an adverb), such as ‘You’re going to really love it’.