I've bolded my recommendation below.
On your car, you can use any
of these three sizes. 195/60-15 is about 1 percent smaller in diameter than 185/65-15 (your stock size); 205/60-15 is about 0.9 percent bigger in diameter than stock. It's not a big deal if you have one size on one axle and a different size on the other axle. However, I wouldn't mix different tire sizes on the same axle (left tire vs right tire). Since you already have two 195/60-15 tires on the car, and you're going to replace the two 205/60-15 tires, I would just get two more 195/60-15 tires, so all four will be the same size.
As a general rule, it's best to use four tires which match for size as well as make/model. If you can't do that, it's best to use four tires which are as close as possible in their performance and handling characteristics. For example, it's not a good idea to use sticky summer tires on one end of the car, and winter tires on the other end of the car, as its handling will be unbalanced (and can change depending on weather conditions).
However, I should also mention that, as much as anybody, I hate the idea of throwing out tires with perfectly usable tread depth, just to make the tires match.
What I would suggest for you is this. Think about what kind of tires you would like to get on your Accord. Then get two of them or four of them, depending on how different they are from what's on your car now (the HTR H4 and Srixon4 are both what the Tire Rack calls "High Performance All-Seasons").
For example, if you want to stick with all-season tires - either because of their longer treadlife, or because you occasionally drive in snow during the winter - then I think you would be fine just buying two all-seasons when you replace your front tires. You could get two more of the HTR H4 ($49 in 185/65-15, $50 in 195/60-15). But another option is the Kumho ASX, which is a better tire than the HTR H4 ($48 in 195/60-15). If it were my car, I would get two of the Kumho ASX in 195/60-15 to replace your front tires. They should put the new tires on the rear, and move the two rear tires to the front. Then when the two HTR H4 wear out, I would replace them with two more of the Kumho ASX in 195/60-15.
However, if you decided to get summer tires on your car - for example, if you never drive in snow, and want the stickier performance of summer tires rather than the longer treadlife of all-season tires - then it would be a good idea to replace all four tires.
The above prices are from the Tire Rack