Hi, there is not much "freedom" regarding house space with capital ships. Basically laws of all houses don´t allow foreign capital ships, even from houses with neutral relations. Unless you get permission what is usually not easy.
So as IMG, expect to be treated as law violator in every house if you bring cruiser. LSF - maybe you will be tolerated in Bretonia under some circumstances, and with BIS maybe you will be tolerated in Liberty (but depends on who you met). However I´m not sure what conditions these two houses have about allied capital ships, I think Libertonians are allowed only in some Bretonian systems (Leeds probably), Bretonians...don´t know, maybe even not in Liberty house space.
So that´s where it ends. Two houses at best and very restricted in the other than your own house.