Can't really make anything from that png, it's not readable.
Looking at the site, it does seem to be rather dated, but I don't see why that would cause them to force you to move. That's just unprofessional.
You might look into, as Artashes said , some of the providers here in the shared section.
When you get moved, also, you might consider moving to a more up to date platform, say, wordpress, for example. This should make your site look a bit less 90s