Not enough woof in my woofer

At present I am doing up a pair of old speakers (circa 1963) and have replaced the woofers. The tweeters are excellent with nice highs and no complaints. The design is a two way system. In each box there is two tweeters connected to a 8 inch woofer and one connection has a green filter. (I assume it is a filter.)
Although I have replaced the woofers I would like to have more bass.

My thinking, and I do not know much about the workings, is to purchase and install, a two way crossover and have the system retuned, to get more bass. Is this the way to go? Any insights would be greatly appreciated.

I was given a three way crossover which is new, can I use that?
In anticipation, thanking all kindly for any assistance.
 
At present I am doing up a pair of old speakers (circa 1963) and have replaced the woofers. The tweeters are excellent with nice highs and no complaints. The design is a two way system. In each box there is two tweeters connected to a 8 inch woofer and one connection has a green filter. (I assume it is a filter.)
Although I have replaced the woofers I would like to have more bass.

My thinking, and I do not know much about the workings, is to purchase and install, a two way crossover and have the system retuned, to get more bass. Is this the way to go? Any insights would be greatly appreciated.

I was given a three way crossover which is new, can I use that?
In anticipation, thanking all kindly for any assistance.

You really need to state the model of woofer you have replaced with and the size of the box in litres. It's then possible to estimate the bass coil needed to get the bass right. I'd guess you have no bafflestep coil at all at the moment, so it's sounding bass light. Presumably the current tweeter filter is the simple single capacitor around 2.2uF.

Most 8" drivers are designed to run with little filtering beyond a coil and this is probably the thing to add. They also cross over at above 4kHz normally for reasons to do with their natural rolloff. To do a proper job, you also need to know the DC resistance of the tweeters which tells you the nominal impedance, and whether they are wired in series or parallel. A 4, 8 or 16 ohm CROSSOVER has different values.

Hope that helps. It's a bit more complicated than you thought, eh? But the basic idea is to add the bass coil, which attenuates the midrange giving an impression of more bass, then attenuate the tweeter to match.
 

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Hi System7, I do not know the model of the woofers, only that they are 8" BW's which originated out of another set of speakers. There is a sticker saying passed inspection 1989. The size of the boxes is 36.5 liters. Yes, it is more complicated than I imagined, but you have shown me the way to go as the next step.
The different options are very helpful and I am much obliged.