How much do you want to spend and how compact do you want to be?
If you already have a suitable bass amp, I would suggest a pure sine power station. I bought a Jackery 300 to experiment with my GK 700RB/112 combo. The only difference I hear between running the amp on wall power and running it on the Jackery is it has a bit more hum on the Jackery. The hum is noticeable in a quiet room, but should be fine for a back yard gig. For context the original 700RB is rated for 225W into 8 ohms.
The Smallest pure sine Jackery is the 240.
Portable Power Stations with outlet - Jackery
I chose the 300 to ensure the old GK would turn on. Many old amps have a big surge when they are turned on. The Jackery 300 is rated 300W continuous and 500W surge. The 240 is rated 200W continuous and 400W surge.
Here is the thread I started for the Jackery:
Battery-Powered Mayhem! (Jackery 300)
For super compact but relatively low volume, I would choose the Roland Cube Street EX. This amp is rated for 25W x 2 into a pair of 8s. IMHO it probably makes closer to about 13W total. I would not even consider the smaller Roland battery powered amps...although some people think they are great.
Roland - CUBE Street EX | Battery-Powered Stereo Amplifier
I believe the next step up would be the Roland BA-330. This amp is rated 15W x 2 into four 6s. Although it has lower power than the Cube Street EX, I think it's louder. It's about twice the size and weight of the Cube Street EX.
Roland - BA-330 | Stereo Portable Amplifier
If you need more volume, you can run two amps.
These two Roland amps run on AA batteries. I suggest getting Eneloops and a charger.
For pretty a big step up, you can consider various bluetooth speakers with instrument inputs such as the SoundBoks and JBL Partybox 310

.
Shop Powerful Portable Wireless Bluetooth Speakers | SOUNDBOKS
JBL Partybox 310 | Portable party speaker with dazzling lights and powerful JBL Pro Sound
Here's a review:
JBL PartyBox 310 vs SOUNDBOKS (Gen. 3) Side-by-Side Speaker Comparison - RTINGS.com
I think this review may be a bit misleading. They seem to strongly prefer the JBL and note that it has less compression artifacts. However, the measurement was taken with the JBL at 104dB VS 110dB for the Soundboks. I suspect if you dropped the volume of the Soundboks a bit, the compression would decrease, and it would probably still be louder than the JBL.
The next step up would be something like a Beacon or Big Foot from Anchor Audio.
Anchor Audio Beacon 2 | Portable Line Array Sound System — AnchorAudioStore.com
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I have played through the previous generation of Beacon and it was better than I expected, but




