I'm new to this forum so will introduce myself first

I'm 33 and from London and will be going to Varna (first time in Bulgaria!) with my partner next month. We plan to stay in Bulgaria for at least 4 months to get the feel for the place before deciding if we will stay longer, although we don't have any intention of buying a property - purely renting.
Our main motivation is a lower cost of living. We're a bit over London and spent 9 months in Asia last year. I work as a graphic designer online and my boyfriend is a DJ so we're hoping to take things a little easier and have time to see a bit of the country.
We've decided that Varna seems to suit our needs best so we're looking at renting either a 1 or 2 bed apartment. Does anyone know what the average rental price is in Varna? I looked on Numbeo.com and the prices quoted seem quite a bit less than what I've seen for monthly and yearly rentals on the web.
We're thinking of staying in a B&B for a week or two to get our bearings and to give us some time to find a good agent.
My other concern is internet - this is essential to me being able to earn a wage. I hear Sofia's speeds are pretty darn fast but does anyone know about Varna?
Any help would be appreciated!
Many thanks
Louise