What is the best way to connect different LEDs?
In general you must not connect different LEDs in parallel and I wouldn't even connect different color temperatures in parallel even though they share the same datasheet (in case of LM301). The different phosphorus coatings might introduce different power dissipation, which can lead to thermal runaway (a pretty important effect you should look up).
For high power applications, a pure series connection is not practical, though, as you would either require many separate drivers or a high voltage. So a parallel connection is quite common, but you should make sure to only assemble binned chips and leave some current margin (so you stay in specs in case of thermal runaway).
&quot;Are there any problems in having the first block draw a slightly different current than the following red LEDs&quot; - thats not a problem as long as you don't exceed any of the leds' current ratings.
&quot;Are there any samples of resources that explain/simplify the process of connecting different types of LEDs without using resistors?&quot; - you should learn about the mentioned thermal runaway (TR). This effect makes parallel connections of semiconductors generally unstable in theory. In practice, you will have Ohmic losses to some extend (pcb traces, bonding wires in the led) which can compensate the effect of TR if you have sufficiently well-binned LEDs. Also make sure to have good thermal connection between the LEDs. A special case is when the entire parallel current is below the current the single LEDs are rated for. In this case, thermal runaway may still occur, but it is not fatal.