As far as purchasing a generator is concerned, there are two main factors to consider. The first is how much power you will require and the second is noise emissions.
POWER: You say that you are using it for recreational use so I would imagine this means camping/RVing? If you are tenting and do not require your generator to power a 13,500 BTU AC unit then something around the 2000W range should power most of your appliances without worry (coffee makers, hair dryers, CD players, laptop/phone charging etc). If you do require something that can power an AC unit on an RV you should be looking in the 3000W and above range for a 13,500 BTU unit.
NOISE: No one wants their campsite to sound like a construction zone. If you are looking for quiet portable power you are definitely right to be looking for an INVERTER generator (as opposed to a conventional generator). You are right that inverters produce a "cleaner" power source that is suitable for sensitive electronics such as laptops and smartphones. The inverting process produces a smoother sine wave that will not damage the microprocessors within these electronics.
Many people swear by Honda's and Yamaha's and they are the industry leaders when it comes to inverter generators BUT there are many alternative companies (ie Champion, WEN, Briggs and Stratton) putting forth very competitive products at a lesser price that merit consideration when shopping around for a generator- I particularly like the Briggs and Stratton P3000 30545
I found this website to be extremely helpful when deciding which generator best suits your needs (specifically for recreational use- they do not have as much info on standby home generators);
The "inverters vs generators" page is very insightful and arms you with the knowledge necessary to make an educated purchase. They also have detailed reviews of the latest and best selling inverter generators on the market.
I hope this helps! Happy camping and all the best,