The first is Siteground ( https://prospermountain.com/sgwp ) generally recognized as on of the best for smaller businesses. Now normally I wouldn't suggest Siteground simply because of the cost but they are currently offering an amazing deal for any hosting paid in advance . . . you decide for how long to pay for and the price is locked in until you renew.
My real favorite though is WPX hosting ( https://prospermountain.com/wpx ) – These guys only do WordPress hosting and the platform is FAST. They are renowned for the service they offer.
You truly wouldn't go wrong with either but normally they cost about the same so I'd lean to WPX for speed alone. But that deal that Siteground is offering can't be ignored.
Both companies will move your site for free and give great service in the transition (and all times).