Welcome to the forum! You have a few options, but first step is knowing exactly what you have. I’ve seen many fractionalized portfolios where the new owners have had very little handed down to them and are relying on operator payments and buyer offers to know what they have. This may not be the case here, but step one is to know exactly what you own, where it is (legal description), and how many net mineral acres you personally own. It’s been rare where the offer has had the ownership correct (even if they seem so certain in the offer, it’s usually several stacked assumptions; part of why the offer changes later on), so those aren’t the best to rely on for details.
Second, the ownership title documents need to be firmly established that you’re the owner, with the counties and the operators. It’s hard to sell minerals when there is a title issue like probate or some curative issue (not my strong suit; someone like @Warmheartsland can chime in on this). You’ll also want to make sure all money is retrieved from suspense (if an operator was needing a document before distributing funds) before selling, or else you would forfeit that money to the buyer.
Third, active basins like the Permian and producing properties will be easiest to divest. Investors love showing Permian acreage or quick returns from royalties. You’ll want to check for any permits to drill on your acreage or nearby rigs as that will drive up the value without it being obvious to you why (and many buyers take advantage of that upper hand). Any area you have unsolicited offers likely means you have enough to warrant an evaluation to have at least as much info as the buyer, so this is where I’d recommend having an engineer take a look at the wells and reservoirs attached to those offers, as mentioned above.
The non-producing, non-Permian acreage gets more parcel-specific in terms of what to do. If you own 0.5 net acres of non-productive land in Jim Wells county by itself, that’s much different than divesting 5 net acres in Rusk county. It’s very reservoir/area specific. EnergyNet.com or another auction house is an option for random tiny parcels, but it really depends on the value of the portfolio and how complicated title will be to sell.
Word of advice: Negotiate. Always. Buyers bluff all the time, but everything is negotiable in oil and gas, and everyone is trying to get a good deal. There is no “one set price” an asset should sell for. Comps are hard to come by and rarely are public info anyway, and buyers use this to their advantage. Analytical methods (engineering) can get a good estimate of value, but many fractionalized portfolios aren’t large enough to make that time and effort worth the investment (though if there are more than $1000/year of royalties it usually is, and can also clarify ownership/suspense funds due to the estate if not).
Another option is to NOT sell and to instead join forces with family members to create a trust or LLC, then let the entity decide how to distribute the funds (maybe a family reunion or a scholarship), or donate the asset to a non-profit. This ends the cycle of divide, divide, divide, but needs to be handled by an attorney (also not my specialty).
Feel free to ask us any questions as you go along!