Mike, yes obviously you will need to get a 15-30 adapter (call them adapters, not converters). The further you go from your outlet to reach the 30 amp cord, the more important it is to use a heavier 15 amp cord to allow for voltage drop over the distance. A typical orange 14 gauge cord is not advised... pay more and go with at least a yellow 12 gauge. When you start needing one over 50 ft, not including the 30 and the 50 amp lengths that won't drop much voltage, consider splurging on a 10 gauge.
In my learning days 30 years ago I ran a 100ft 14 gauge cord from the farmhouse basement to our old Pace Arrow, and ran an air conditioner. I was lucky the breaker never flipped, but ultimately years later the AC gave up. And don't go cheap like I have in the past and buy an inexpensive black adapter; they aren't as safe as a quality, often yellow, heavy duty pigtail-type adapter, although quality one-piece black one's exist.
Whatever you do, don't have your cord adapters laying in a low spot where rainwater can puddle and short them out, possibly flaming up before your house breaker kicks off. I know a device on fire in water sounds implausible, but I've seen it happen during a sudden downpour.
As long as you are aware of and carefully manage total amp draw in the coach, staying well under your 20 amp source, especially easy if you're only just letting the charger in the inverter keep both battery banks up, you should be fine. That said, if you've drained the house set before plugging in, the initial charge rate can be significant. Your Aladdin can be used to monitor amp load at any one time.
Once the house set gets to 13.4v your BIRD unit will switch automatically to maintain the chassis set, and monitor all when that gets to 13.4v. You don't need a separate charger that you'd have to manually switch every so often. In storage, just leave both Main switches in the battery bay off.
As David suggests, you might want to program your (Magnum?) panel, telling it you're on a 15 amp source. I try to remember do that as a habit at RV park or camp sites also, adjusting to each site's outlet.
Joel