You would start by filing a petition for dissolution of marriage. You, as the filing party, are the Petitioner and your husband is the Respondent. Under NH law a divorce may be for cause or no-fault.
No-Fault:
Irreconcilable differences which have caused the irremediable breakdown of the marriage.

Fault:
I. Impotency of either party. II. Adultery of either party. III. Extreme cruelty of either party to the other. IV. Conviction of either party, in any State or Federal District, of a crime punishable with imprisonment for more than one year and actual imprisonment under such conviction. V. When either party has so treated the other as seriously to injure health or endanger reason. VI. When either party has been absent 2 years together, and has not been heard of. VII. When either party is an habitual drunkard, and has been such for 2 years together. VIII. When either party has joined any religious sect or society which professes to believe the relation of husband and wife unlawful, and has refused to cohabit with the other for 6 months together. IX. When either party, without sufficient cause, and without the consent of the other, has abandoned and refused, for 2 years together, to cohabit with the other. (New Hampshire Statutes - Chapters: 458:7, 458:26)

Since New Hampshire is an "Equitable Distribution" state, the marital property shall be divided in an equitable fashion. Equitable does not mean equal, but rather what is fair. The court will encourage the parties to reach a settlement on property and debt issues otherwise the court will declare the property award.

When a dissolution of a marriage is decreed, the court may order an equitable division of property between the parties. The court shall presume that an equal division is an equitable Distribution of Property, unless the court decides that an equal division would not be appropriate or equitable after considering one or more of the following factors: (a) The duration of the marriage. (b) The age, health, social or economic status, occupation, vocational skills, employability, separate property, amount and sources of income, needs and liabilities of each party. (c) The opportunity of each party for future acquisition of capital assets and income. (d) The ability of the Custodial Parent, if any, to engage in gainful employment without substantially interfering with the interests of any minor children in the custody of said party. (e) The need of the custodial parent, if any, to occupy or own the marital residence and to use or own its household effects. (f) The actions of either party during the marriage which contributed to the growth or diminution in value of property owned by either or both of the parties. (g) Significant disparity between the parties in relation to contributions to the marriage, including contributions to the care and education of the children and the care and management of the home. (h) Any direct or indirect contribution made by one party to help educate or develop the career or employability of the other party and any interruption of either party's educational or personal career opportunities for the benefit of the other's career or for the benefit of the parties' marriage or children. (i) The expectation of pension or retirement rights acquired prior to or during the marriage. (j) The tax consequences for each party. (k) The value of property that is allocated by a valid prenuptial contract made in good faith by the parties. (l) The fault of either party a if said fault caused the breakdown of the marriage and: (m) The value of any property acquired prior to the marriage and property acquired in exchange for property acquired prior to the marriage. (n) The value of any property acquired by gift, devise, or descent. (o) Any other factor that the court deems relevant. (New Hampshire Statutes - Chapters: 458:16)

That would be a reasonable analysis of his actions. As I said, though, most people should avoid any major financial changes at this period. Obviously, you will want to run everything by your local counsel to get more detailed advice.