Have a look in the pumping section for previous threads about advantages / disadvantages of pumps compared to MDI (Multiple Daily Injections) - I think the considerations are different for adults with diabetes, and for children with diabetes and their parents, so take that into account when reading / thinking.
Regarding your specific question about splitting long acting insulin - that's what I've been doing for many years, since mentioning problem with waking up with hypoglycaemia in early mornings, interupting my sleep, to a DSN (Diabetes Specialist Nurse) who suggested splitting. There are many ways of doing this eg every 12 hours / bedtime & getting up time; half / half doses or weighted with more in morning or evening etc, so a good chance of finding a pattern that suits you. As I work shifts, often having episodes of activity through the night (marshalling on adventure races, before anyone gets the wrong idea!) being able to adjust times and doses suits me very well, and I wouldn't be sure a pump could cope with the conditions I experience.