What Kind Of Media Institution Might Distribute My Product & Why?

I am going to use Bauer Media to publish my magazine because they publish some very popular regular magazines such as heat, the sort of magazine I would hope mine would be. They distribute magazines nationally and I think that gives me a enough broad market to sell my magazine and make a decent profit.
Bauer Media make a lot of magazines that go straight to peoples house and get paid for by direct debit. I don't want my magazine to be like that I want my magazine to be in store so people who may not normally by one may buy it on the off chance they like it. This leading to increasing my market ad profit.
I didn't pick Future Publishing because looking at magazines they publish they mainly publish specialist magazines normally focusing on computing and such like. They don't publish anything similar to my magazine that is why I will not be going with them.
That is the same with BBC although they publish top of the pops my main competitor in this section of the industry they are more focused on things that relate and promote the BBC brand and my magazine has no mentioning of anything that could relate to that.
Similarly Conde Nast publish quite up market magazines that are normally ones off, monthly or seasonally. Most of them are expensive costing around 4 pound plus per issue. All of this is nothing like my magazine or what it says in my publication plan.
I have looked at other companies but I still think Bauer Media is the best for 'DoYa'.