[Bruce Wang]

It would be hard to meet all these requirements with one machine.  A latte is espresso + steamed milk.  So you need an espresso machine.  If you want to make a pot of coffee, you would then need another coffee maker.  My wife also like lattes, so I've had to accomplish the same goals.  Here's my recommendation to balance everything you want to do, keep the cost reasonable, and make excellent coffee. This setup requires paper filters.

Very good grinder (I have a Breville - not the cheapest and not the best, but it was a good tradeoff on price, functionality, quality and ease of use)
Breville milk steamer/frother
Breville temperature control electric kettle
Aeropress - to similate espresso, requires paper filters
Chemex (to make larger portions of coffee) - requires paper filters

You will notice that Breville shows up a lot here.  I've had to replace a grinder, electric kettle, and milk steamer.  They were all specialized highly rated brands.  Each one broke and I've just come to appreciate the quality of Breville's products.  They are on the expensive side, but I think you get an excellent value when you factor longevity and functionality.  I don't have direct experience with Burg's recommendation, but I have a lot of trust in the Breville brand, and if you want an all in one, that's probably a good bet.  Skip the latte and make a cafe au lait instead.

I've decided not to buy a real espresso machine because I can feel like I'm getting good value when I go to a coffee place.  They are amortizing the costs of very expensive espresso machines across many many cups.

[Bruce Wang]

It would be hard to meet all these requirements with one machine.  A latte is espresso + steamed milk.  So you need an espresso machine.  If you want to make a pot of coffee, you would then need another coffee maker.  My wife also like lattes, so I've had to accomplish the same goals.  Here's my recommendation to balance everything you want to do, keep the cost reasonable, and make excellent coffee. This setup requires paper filters.

Very good grinder (I have a Breville - not the cheapest and not the best, but it was a good tradeoff on price, functionality, quality and ease of use)
Breville milk steamer/frother
Breville temperature control electric kettle
Aeropress - to similate espresso, requires paper filters
Chemex (to make larger portions of coffee) - requires paper filters

You will notice that Breville shows up a lot here.  I've had to replace a grinder, electric kettle, and milk steamer.  They were all specialized highly rated brands.  Each one broke and I've just come to appreciate the quality of Breville's products.  They are on the expensive side, but I think you get an excellent value when you factor longevity and functionality.  I don't have direct experience with Burg's recommendation, but I have a lot of trust in the Breville brand, and if you want an all in one, that's probably a good bet.  Skip the latte and make a cafe au lait instead.

I've decided not to buy a real espresso machine because I can feel like I'm getting good value when I go to a coffee place.  They are amortizing the costs of very expensive espresso machines across many many cups.